In 1981 Duran Duran appeared on the British television show Look! Hear! to perform "Planet Earth" and "Careless Memories." Watch both performances from the episode (which also included a search for a Space Invaders champion!) below:
"Planet Earth" starts around ~ 50 seconds in
Forward in to ~ 2:00 to watch "Careless Memories"
And the very end of "Careless Memories"
FYI, a video with just the songs from the broadcast has previously been uploaded here, though the quality isn't quite as good.
Duran Duran are preparing to release their live set, A Diamond In The Mind, on CD/DVD and Blu-ray this summer. The collection was captured at their show in Manchester last year and will be available as a standard CD, DVD, and Blu-ray. A deluxe triple pack edition featuring the CD, DVD, and Blu-ray in an 8 panel digipack with bonus features will also be available. A Diamond In The Mind drops in the U.K. on July 2nd and in North America on July 10th. Fans in other countries should visit the band's official site for more release dates.
Duran Duran kick off another round of touring next month, dates are posted here.